<exercise masterit-seed="8534" masterit-slug="C2" masterit-name="Non-homogeneous first-order linear ODE">
<statement>
<p>Explain how to find the general solution to the given ODE.</p>
<me> 2 \, {y'} - 18 \, e^{\left(5 \, t\right)} = 4 \, {y} </me>
</statement>
<answer>
<me> {y} = k e^{\left(2 \, t\right)} + 3 \, e^{\left(5 \, t\right)} </me>
</answer>
</exercise>